Complex-Valued Ordinary Differential Equation Modeling for Time Series Identification
Time series identification is one of the key approaches to dealing with time series data and discovering the change rules. Therefore, time series forecasting can be treated as one of the most challenging issues in this field.
Bin Yang, Wenzheng Bao
doaj +1 more source
Classification of acute myeloid leukemia based on multi‐omics and prognosis prediction value
The Unsupervised AML Multi‐Omics Classification System (UAMOCS) integrates genomic, methylation, and transcriptomic data to categorize AML patients into three subtypes (UAMOCS1‐3). This classification reveals clinical relevance, highlighting immune and chromosomal characteristics, prognosis, and therapeutic vulnerabilities.
Yang Song+13 more
wiley +1 more source
Likelihood-ratio test statistic for the finite-sample case in nonlinear ordinary differential equation models. [PDF]
Tönsing C+3 more
europepmc +1 more source
II.—A Fundamental Theorem regarding the Equivalence of Systems of Ordinary Linear Differential Equations, and its Application to the Determination of the Order and the Systematic Solution of a Determinate System of such Equations [PDF]
George Chrystal
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Presurgery 72‐h fasting in GB patients leads to adaptations of plasma lipids and polar metabolites. Fasting reduces lysophosphatidylcholines and increases free fatty acids, shifts triglycerides toward long‐chain TGs and increases branched‐chain amino acids, alpha aminobutyric acid, and uric acid.
Iris Divé+7 more
wiley +1 more source
A neural ordinary differential equation model for visualizing deep neural network behaviors in multi-parametric MRI-based glioma segmentation. [PDF]
Yang Z+7 more
europepmc +1 more source
Numerical integration of ordinary differential equations with rapidly oscillatory factors [PDF]
We present a methodology for numerically integrating ordinary differential equations containing rapidly oscillatory terms. This challenge is distinct from that for differential equations which have rapidly oscillatory solutions: here the differential equation itself has the oscillatory terms.
arxiv
Some of the developments in the theory of ordinary differential equations between 1878 and 1893 [PDF]
Thomas Craig
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Transcriptome‐wide analysis of circRNA and RBP profiles and their molecular relevance for GBM
CircRNAs are differentially expressed in glioblastoma primary tumors and might serve as therapeutic targets and diagnostic markers. The investigation of circRNA and RNA‐binding proteins (RBPs) interactions shows that distinct RBPs play a role in circRNA biogenesis and function.
Julia Latowska‐Łysiak+14 more
wiley +1 more source
Comparison of rule- and ordinary differential equation-based dynamic model of DARPP-32 signalling network. [PDF]
Wysocka EM+3 more
europepmc +1 more source